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Finding the Fourth Proportional to 149,546, 224,354.68 and 51,050

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Solution

The fourth proportional to 149,546, 224,354.68 and 51,050 is: 76,587.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,546 : 224,354.68 = 51,050 : x
  2. Step 2: Convert to fraction form
    149,546/224,354.68 = 51,050/x
  3. Step 3: Cross multiply
    149,546x = 224,354.68 × 51,050
  4. Step 4: Simplify right side
    149,546x = 11,453,306,414
  5. Step 5: Solve for x
    x = 11,453,306,414/149,546
  6. Step 6: Final answer
    x = 76,587.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.